10-26 Exercise 3: Find roots of a quadratic equation

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Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i
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Everything is fixed. Enjoy your time with The Judge :)
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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
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Your code has newline at the end sometime. You learned this lesson many times!
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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.
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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge
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#include <stdio.h>
#include <stdlib.h>

int main()

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prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'
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Hidden content!
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prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'
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prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
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#include <stdio.h>
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#include  ** **  *   * * * 
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int main(void)
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prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'
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Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Hidden content!
#include   *     *  *
#include ** ** ** * *  **

int main()
{
  ******     * * **** **** ** a, b, c,   *   * x1,x2, realPart,  *   * ** 


** ** ** ********    ** ***   ***  *  *    *  %lf ** * * * *          &b, &c);


*** *    *** * ***  *** **  * *     * = b*b-4*a*c;

   * *** ***  **       *** *  condition for real and different roots


***       *  ** ** * ** **  *  * **    for real and equal roots
**   * ** ***   **  *** *   *  *  * (determinant == 0)
** *  ** * **  * *  ***  
  ** * *  *****   *** **  ** * *  *** ** *  ** ****     **  = x2 = -b/(2*a);
   **** *  ****    **** *  ** * **   ***  * ** *       **  ** **  *   * *  ** of %.2fx^2 + %.2fx + %.2f = 0 are real and    *   ***   * a,b,c);
 ** * *  *** * **     **  * *  ***  * **** *     *** ****    *  ** *   = x2 =  **  **   * x1);
**  *  *  ********   

** *** * ***    *** * * * *** ***  **** if (determinant > 0)
** * *  * *  * ******   * **  
****  *   **   *** ** *   sqrt() function returns square root
 * * **** **** *  * *   * **      *      * ***  * *** *  =  *** ****  * * * **
    ** * ** *  *  ***  **** * ** ***  *   *   =  *** ** ** **  **

 ****  *  ** **  **   ** ** * ** ***  *    * *****     ********   ***** *** of %.2fx^2 + %.2fx + %.2f = 0 are real and * *  * **  *** *** *
**   ** *  * * *** ** * ***  *  *** * **     ** **  **   *  *     **** =  ***  *  *  x1);
* *   * ***   **   * ** ***    *   * *     * *  **  *  *** ** =  **    x2);
  **   * *        *** *  ** if roots are not real
 **    * * *  **** **  ****
  * **   *** ** **** **  *    
  ***  ***  ** *   **     *  ** ***** * *   *    ***  *  *** * = -b/(2*a);
 * **   ** ** *     **  * **   *  *  ***  ** * ***    * ** = * *   ** * ***** **
* *  * ***      * ** ** ** * *  **    * ***** *  **        ** of %.2fx^2 + %.2fx + %.2f = 0 are complex and *  ** *  * ****** a,b,c);
  *  ** ** **  ***  ***    * * ** ** * *   *       ** ** * **  * = *   **  *  * ****  realPart,  *    ** *
  * *** **  ** *  **     **  *   ** ****  * **    *   * * *   *  *    = **     ****   realPart,   * *** *
* ***   **    ** **** * **

 *       **      *** * * *   *** 0;
}
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